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Assignment:Find the solution set of inequality -1 ≤2m+3 ≤3-1 ≤m∧2 ≤3m∧2 <2m+3 .
Question type: Inequality
Solution:
The inequality can be reduced to 5 inequalities:
-1 ≤2 * m + 3 (1)
2 * m + 3 ≤3 - 1 (2)
3 - 1 ≤ m ^ 2 (3)
m ^ 2 ≤3 * m ^ 2 (4)
3 * m ^ 2 <2 * m + 3 (5)
From inequality(1):
m ≥ -2
From inequality(2):
m ≤ -1/2
From inequality(3):
m ≤ -√2 或 m ≥ √2
From inequality(4):
m ≤ 0 或 0 ≤ m ≤ 0 或 m ≥ 0
From inequality(5):
-0.720759 < m < 1.387426
From inequalities (1) and (2)
-2 ≤ m ≤ -1/2 (6)
From inequalities (3) and (6)
-2 ≤ m ≤ -√2 (7)
From inequalities (4) and (7)
-2 ≤ m ≤ -√2 (8)
From inequalities (5) and (8)
m ≤ (9)
The final solution set is :
m ≤ Your problem has not been solved here? Please take a look at the hot problems !